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Leokris [45]
3 years ago
11

What is the 52nd term of the sequence below?

Mathematics
1 answer:
VladimirAG [237]3 years ago
3 0
Because the difference between any term and the previous term is a constant, this is an arithmetic sequence because of that constant which is referred to as the common difference, d.  Which in this case is -35--38=-32--35=3

Any arithmetic sequence can be expressed as:

a(n)=a+d(n-1), a=initial term, d=common difference, n=term number.

In this case a=-38 and d=3 so

a(n)=-38+3(n-1)  which we can simplify to

a(n)=-38+3n-3

a(n)=3n-41, so the 52nd term is:

a(52)=3(52)-41

a(52)=156-41

a(52)=115
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Nadusha1986 [10]

Answer:

Step-by-step explanation:

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AREA OF THE CIRCLE = (Pi/4)*6^2 = [(22/7)/4]*36 = 22*9/7 = 28.2857 sqcm

or

First, find the side length of the square. (Find the square root of 36 cm^2, to get 6 cm as the side length of the square).

Second, find the radius of the circle inside the square. The side length of the square is the diameter of the circle. Radius is half of the diameter. So, half of 6 cm is 3 cm; this is the radius of the circle.

Third, find the area of the circle by using the formula, A = pi x radius x radius

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by calculation we get the area of the circle is 28.26 cm^2

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3 years ago
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sweet-ann [11.9K]

Answer:

{d,b}={4,3}

Step-by-step explanation:

[1]    11d + 17b = 95

  [2]    d + b = 7

Graphic Representation of the Equations :

   17b + 11d = 95        b + d = 7  

 

Solve by Substitution :

// Solve equation [2] for the variable  b

 [2]    b = -d + 7

// Plug this in for variable  b  in equation [1]

  [1]    11d + 17•(-d +7) = 95

  [1]    -6d = -24

// Solve equation [1] for the variable  d

  [1]    6d = 24

  [1]    d = 4

// By now we know this much :

   d = 4

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// Use the  d  value to solve for  b

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Solution :

{d,b} = {4,3}

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Answer:

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Step-by-step explanation:

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6/15

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Oksi-84 [34.3K]

Answer:

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Step-by-step explanation:

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Its equation is:

\frac{x}{ - 2}  +  \frac{y}{2}  = 1

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Solve for y,

\boxed {y = x + 2}

For the line with a negative slope,

the x-intercept is a=-4 and the y-intercept is b=-4

Its equation is

\frac{x}{ - 4}  +  \frac{y}{ - 4}  = 1

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harkovskaia [24]

Answer:

60%

Step-by-step explanation:

add them all to 20

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